Magnetic Ordering of Ising Spins on Kagomé Lattice with the 1st and the 2nd Neighbor Interactions

Abstract

The magnetic ordering of classical Ising spins on the Kagomé lattice were studied taking into account the second neighbor interaction in addition to the antiferromagnetic nearest neighbor interaction by means of Monte Carlo simulations and mean field approximation. In the ferromagnetic second neighbor interaction case, the phase transition from the ferrimagnetic ordered ground state to a partially disordered state characterized by quasi-long range Kosterlitz-Thouless type order was found. The antiferromagnetic second neighbor interaction gives rise to no stable long range order at finite temperatures and the ground state is characterized by a quasi-long range order with intensive fluctuations.